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Finding the Fourth Proportional to 405,830.80, 608,746.20 and 184,214.80

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Solution

The fourth proportional to 405,830.80, 608,746.20 and 184,214.80 is: 276,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,830.80 : 608,746.20 = 184,214.80 : x
  2. Step 2: Convert to fraction form
    405,830.80/608,746.20 = 184,214.80/x
  3. Step 3: Cross multiply
    405,830.80x = 608,746.20 × 184,214.80
  4. Step 4: Simplify right side
    405,830.80x = 112,140,059,483.76
  5. Step 5: Solve for x
    x = 112,140,059,483.76/405,830.80
  6. Step 6: Final answer
    x = 276,322.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.